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68334624 = 2533139569
BaseRepresentation
bin1000001001010…
…11010000100000
311202120202111000
410010223100200
5114443201444
610440352000
71456556211
oct404532040
9152522430
1068334624
11356338a6
121aa75600
13112077b7
14910b408
155eec469
hex412b420

68334624 has 96 divisors (see below), whose sum is σ = 201096000. Its totient is φ = 22574592.

The previous prime is 68334613. The next prime is 68334631. The reversal of 68334624 is 42643386.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119812 + ... + 120380.

It is an arithmetic number, because the mean of its divisors is an integer number (2094750).

Almost surely, 268334624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68334624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100548000).

68334624 is an abundant number, since it is smaller than the sum of its proper divisors (132761376).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

68334624 is a wasteful number, since it uses less digits than its factorization.

68334624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727 (or 713 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 68334624 is about 8266.4759117776. The cubic root of 68334624 is about 408.8339344509.

The spelling of 68334624 in words is "sixty-eight million, three hundred thirty-four thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 139 144 216 278 288 417 432 556 569 834 864 1112 1138 1251 1668 1707 2224 2276 2502 3336 3414 3753 4448 4552 5004 5121 6672 6828 7506 9104 10008 10242 13344 13656 15012 15363 18208 20016 20484 27312 30024 30726 40032 40968 54624 60048 61452 79091 81936 120096 122904 158182 163872 237273 245808 316364 474546 491616 632728 711819 949092 1265456 1423638 1898184 2135457 2530912 2847276 3796368 4270914 5694552 7592736 8541828 11389104 17083656 22778208 34167312 68334624